1 4. Find the maximum value of f (x) = In(x- Inx) on the interval-

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A: Given;  Radius=9cm dr/dt=0.4 cm/min

Q: 6. Let A = {x € R | x² = 64 }. Then, |P(A)| = 16. 7. Let D = {x € Q|x² = 5 }. Then, D is singleton.…

A: This is a problem related to set theory. Based on the general formula and concept we will answer the…

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A: To find the derivative of the following function.Fx=∫x2x72t-13 dt

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Q: Suppose x? + y + z² = 1 and z = g(x, y) > 0. Determine g Su (글, 글). 1 1 2

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Q: Solve 12 cos (t) + 2 cos(t) - 2 = 0 for all solutions 0 < t < 2n t = Give your answers accurate to 2…

A: See the answer below

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Q: Using the method of LaPlace Transform, solve the following IVPs a.) y" + 8y' + 25y = 13e-2t…

A: As per bartleby guidelines we only give first question answers because questions are lengthy.

Q: General solution of x dy = (2xex – y + 6x2) dx %3D

A: The given equation is: x dy=(2xex-y+6x2)dx That can be written as:…

Q: L(e3t cos 2t)

A: We know, L{eatf(t)}= F(s-a) , where F(s)= L{f(t)} L{cosat}=s/(s²+a²)

Q: 4. Solve the equation: (D² – 3D + 2) y = 2e* + 8 O y = cje2* + c2xe¯* + 4 + e* O y = cje2* + czeť +…

A: Explanation of the answer is as follows

Q: e2x-1 If y = prove that = 1- y² dx

A: Given :y=e2x-1e2x+1

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A: Given :dydx=-xy =f(x,y)y(0)=1

Q: g³ + x² + 2x+1 d.x (x² + 1)(x² + 2)

A: Explanation of the answer is as follows

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Q: 34 Find the measures of both angles a and b in the 41 following figure:

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Q: 9. The general solution of y" + y = cos? x

A: Given :   y"+y=cos2x

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Q: . Find dy for each of the following: dx 2-x? a) y = ln- 1+x b) y = Vx+e-x c) y = 52x+3

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Q: 5. A small metal bar, whose initial temperature is 20°C, is dropped into a container of boiling…

A: According to newton law of cooling: dTdt=-k(T−Ta​)  Where T is the Temperature of the body and Ta is…

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A:

Q: х3-4х-10 х2-х-6 (2x + 21n|x – 31 – 4 In |x + 2|) + C (2x + 2 In|x – 3| + 4 In |x + 21) + C Option 1…

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Q: 6. If y = x In 2x find y(3).

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Q: QUESTION 6 Determine the unique solution of the following differential equation by using Laplace…

A: Let's solve given diffrential equation by using laplace transform method.

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Q: 4. If y = x cos x determine the 5th derivative. [y(5) = (60x – x³) sin x+ (15x² – 60) cos .x]

A: To find out the fifth derivative.

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Q: F(s) = (s-2)(s-4)(s-8)

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Q: 1. Find -for each of the following: dx e) y =x* Inx f) In(x + y) = e*=y g) y = x2r-5

A: Here we have to find dy/dx .

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Q: 3. 2x°- 2x) dx x²+10 2 t1o

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Q: 5. Find the amount due on P 40, 000 in 4 years and 4 moths a. 10 % % converted semi-annually b. 11%…

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Q: (b) y when y=3 cos

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Q: 8) Find the slope of the curve y = Sin³0 and x = Cos³0 _when 0 =

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Q: Find f) (0), for f(8) = 2 cos(36), using pattern recognition. (Don't take 22 %3D derivatives!) What…

A: Given: fθ=2cos3θ Formulas used: ddxcosx=-sinxddxsinx=cosxddxxn=nxn-1ddxCfx=Cddxfx…

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Q: xp x[1+ (In x)²] 5.

A: The given integral is: I=∫dxx1+lnx2   ...(1)   We know that; ∫11+x2dx=tan-1x+C

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Q: Cost of Producing Guitars Carlota Music Company estimates that the marginal cost of manufacturing…

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Q: find area between line y=-2+x and y=x^(1/2) and x-axis

A: We have to find the area.

Q: Number

A: Please refer to the image below

Q: Find the work done by winding 3 meters of a cable if the force applied to wind the cable by x meters…

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